Existence and stability of even dimensional asymptotically de Sitter spaces

TL;DR

This paper provides a new proof of Friedrich's theorem, extending the existence and stability results of asymptotically de Sitter spaces to all even dimensions and characterizes their global limits.

Contribution

The paper introduces a novel proof technique for Friedrich's theorem applicable to all even dimensions, enhancing understanding of asymptotically de Sitter spaces.

Findings

Extension of Friedrich's theorem to all even dimensions

Characterization of limits of globally asymptotically de Sitter spaces

New proof method for stability and existence results

Abstract

A new proof of Friedrich's theorem on the existence and stability of asymptotically de Sitter spaces in 3+1 dimensions is given, which extends to all even dimensions. In addition, we characterize the possible limits of spaces which are globally asymptotically de Sitter, to the past and future.